Information on Result #670964
Linear OA(12867, 386, F128, 40) (dual of [386, 319, 41]-code), using (u, u+v)-construction based on
- linear OA(12823, 192, F128, 20) (dual of [192, 169, 21]-code), using
- extended algebraic-geometric code AGe(F,171P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12844, 194, F128, 40) (dual of [194, 150, 41]-code), using
- construction X applied to AG(F,150P) ⊂ AG(F,152P) [i] based on
- linear OA(12843, 191, F128, 40) (dual of [191, 148, 41]-code), using algebraic-geometric code AG(F,150P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
- linear OA(12841, 191, F128, 38) (dual of [191, 150, 39]-code), using algebraic-geometric code AG(F,152P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,150P) ⊂ AG(F,152P) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12867, 193, F128, 2, 40) (dual of [(193, 2), 319, 41]-NRT-code) | [i] | OOA Folding | |